{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implemention of Histogram Equalization Algorithms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 363,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2512e92c828>"
      ]
     },
     "execution_count": 363,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512e504ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## load images and compute histogram\n",
    "import numpy as np\n",
    "import cv2\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "src=cv2.imread('haze_img/12.jpg')\n",
    "plt.title('src')\n",
    "plt.axis('off')\n",
    "plt.imshow(src[:,:,::-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 364,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2512f901828>"
      ]
     },
     "execution_count": 364,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512fd583c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gray=cv2.cvtColor(src,cv2.COLOR_RGB2GRAY)\n",
    "plt.title('gray')\n",
    "plt.axis('off')\n",
    "plt.imshow(gray,cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 365,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512e95e0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def hist(img_single_channel):\n",
    "    hist=np.bincount(img_single_channel.reshape(-1,))\n",
    "    hist=list(hist)+(256-len(hist))*[0]\n",
    "    return np.array(hist)\n",
    "h_gray=hist(gray)\n",
    "h_blue=hist(src[:,:,0])\n",
    "h_green=hist(src[:,:,1])\n",
    "h_red=hist(src[:,:,2])\n",
    "plt.plot(range(len(h_gray)),h_gray,label='gray',color='k')\n",
    "plt.plot(range(len(h_blue)),h_blue,label='blue',color='b')\n",
    "plt.plot(range(len(h_green)),h_green,label='green',color='g')\n",
    "plt.plot(range(len(h_red)),h_red,label='red',color='r')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "compute cumulative distribution c(I)\n",
    "$c(I)=\\frac{1}{N}\\sum_{i=0}^Ih(i)=c(I-1)+\\frac{1}{N}h(I)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 366,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512ebbf278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def compute_c(h):\n",
    "    c=np.zeros((256,))\n",
    "    N=np.sum(h)\n",
    "    c[0]=h[0]*1./N\n",
    "    for i in range(1,256):\n",
    "        c[i]=c[i-1]+1.*h[i]/N\n",
    "    return np.round((c*255).astype(np.uint8))\n",
    "c_gray=compute_c(h_gray)\n",
    "plt.plot(range(len(c_gray)),c_gray,label='c_gray',color='k')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 367,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2512ea35b70>"
      ]
     },
     "execution_count": 367,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512f37b898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# equalize hist using c\n",
    "def base_equalize_hist(src_single_channel):\n",
    "    h=hist(src_single_channel)\n",
    "    c=compute_c(h)\n",
    "    dst=np.ones_like(src_single_channel)\n",
    "    h,w=dst.shape[:2]\n",
    "    for i in range(h):\n",
    "        for j in range(w):\n",
    "            dst[i,j]=c[src_single_channel[i,j]]\n",
    "    return dst\n",
    "\n",
    "equalized=base_equalize_hist(gray)\n",
    "plt.title('equalized gray')\n",
    "plt.axis('off')\n",
    "plt.imshow(equalized,cmap='gray')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 368,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512e94c320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h_equalized=np.bincount(equalized.reshape(-1,))\n",
    "plt.plot(range(len(h_equalized)),h_equalized,label='equalized',color='b')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using a mapping function\n",
    "$f(I)=\\alpha c(I)+(1-\\alpha)I$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 369,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2512f9b4d68>"
      ]
     },
     "execution_count": 369,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512fe846d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def equalize_hist_with_alpha(src_single_channel,alpha=0.5):\n",
    "    h=hist(src_single_channel)\n",
    "    c=compute_c(h)\n",
    "    dst=np.ones_like(src_single_channel)\n",
    "    h,w=dst.shape[:2]\n",
    "    for i in range(h):\n",
    "        for j in range(w):\n",
    "            dst[i,j]=alpha*c[src_single_channel[i,j]]+(1-alpha)*src_single_channel[i,j]\n",
    "    return dst.astype(np.uint8)\n",
    "\n",
    "equalized_with_alpha=equalize_hist_with_alpha(gray,alpha=0.8)\n",
    "plt.title('equalized gray with alpha')\n",
    "plt.axis('off')\n",
    "plt.imshow(equalized_with_alpha,cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 370,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512ea1dc18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h_equalized_with_alpha=hist(equalized_with_alpha)\n",
    "plt.plot(range(len(h_equalized_with_alpha)),h_equalized_with_alpha,label='equalized_with_alpha',color='b')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Equalize on all channels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 371,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2512fe10f28>"
      ]
     },
     "execution_count": 371,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512fd94048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "b,g,r=cv2.split(src)\n",
    "Y=gray\n",
    "Y_equalized=base_equalize_hist(np.round(Y).astype(np.uint8))\n",
    "sum_=np.sum(src,axis=2)\n",
    "eps=1e-5\n",
    "b_ratio=b*1./(sum_+eps)\n",
    "g_ratio=g*1./(sum_+eps)\n",
    "r_ratio=r*1./(sum_+eps)\n",
    "Y_ratio=Y_equalized/(Y+eps)\n",
    "b_new=Y_ratio*b_ratio\n",
    "g_new=Y_ratio*g_ratio\n",
    "r_new=Y_ratio*r_ratio\n",
    "\n",
    "color_equalized=(cv2.merge((b_new,g_new,r_new))*255).astype(np.uint8)\n",
    "plt.imshow(color_equalized[:,:,::-1])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 372,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2512f9d2f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h_gray=hist(Y)\n",
    "h_blue=hist(color_equalized[:,:,0])\n",
    "h_green=hist(color_equalized[:,:,1])\n",
    "h_red=hist(color_equalized[:,:,2])\n",
    "plt.plot(range(len(h_gray)),h_gray,label='gray',color='k')\n",
    "plt.plot(range(len(h_blue)),h_blue,label='blue',color='b')\n",
    "plt.plot(range(len(h_green)),h_green,label='green',color='g')\n",
    "plt.plot(range(len(h_red)),h_red,label='red',color='r')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
